111920256 has 96 divisors (see below), whose sum is σ = 368097600. Its totient is φ = 31974912.

The previous prime is 111920239. The next prime is 111920267. The reversal of 111920256 is 652029111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×111920256² = 25052287406211072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (3834350).

Almost surely, 2^111920256 is an apocalyptic number.

111920256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184048800).

111920256 is an abundant number, since it is smaller than the sum of its proper divisors (256177344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111920256 is a wasteful number, since it uses less digits than its factorization.

111920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906 (or 13891 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 111920256 is about 10579.2370235287. The cubic root of 111920256 is about 481.9140242536.

Adding to 111920256 its reverse (652029111), we get a palindrome (763949367).

The spelling of 111920256 in words is "one hundred eleven million, nine hundred twenty thousand, two hundred fifty-six".